CEE 577

8 April 2002



Closed book, 1 sheet of notes allowed.

Answer 2 of the following 3 questions.  Please state any additional assumptions you made, and show all work.



I.               (50%) Bovine Brook emerges from pristine headwaters and runs through an agricultural region before it reaches the city of Poultryville.  The BOD of the headwaters is 4 mg/L, and the dissolved oxygen is 8.8 mg/L (saturation is 10.1 mg/L for 15oC).  Starting at mile point zero, there is a significant non-point agricultural runoff of BOD amounting to 40 kg/mile/day.  At mile point 4.0, the stream is met by the Poultryville WWTP outfall.  Here a WW flow of 1 cfs is discharged with a CBOD of 150 mg/L, an ammonia-N concentration of 24 mg-N/L and a DO of 6 mg/L.  Immediately past this outfall is 4 more miles of agricultural land.  This is better managed than the upstream land, so that the runoff BOD averages 15 kg/mile/day.  Calculate the dissolved oxygen concentration 4 miles downstream of the Poultryville WWTP outfall (T=15oC).  Assume the flow is constant at 40 cfs from the headwaters to the end of the non-point agricultural runoff.  You may also assume an SOD downstream of the WWTP outfall of 2.0 g/m2/d.



Additional Information:

               U = 0.150 ft/sec = 2.45 miles/day                                                    T = 15oC

               DOsat or Cs = 10.1 mg/L (at 15oC)                                                   H = 4 ft  = 1.22 m

               BOD deoxygenation rate (kN = kd) = 0.8 day-1  (at 15oC)                 for kN and kd, =1.047

               CBOD settling rate (ks) = 0.080 day-1      (at 15oC)                           for reareation, =1.024




II.                 (50%)  Silver lake is an urban surface water that has received inputs of nickel for many years.  Efforts to clean up the lake have resulted in the termination of all nickel loads.  Lake levels have dropped due to decay (0.00005 d-1) and hydraulic flushing.  Unfortunately, Senator Porkbarrel has succeeded in getting his brother's chrome fender business exempted from the nickel ban.  The amount on nickel discharged is directly related to the amount of product produced.  Due to changes in the automotive industry, production has dropped off since the business began (see table below).  During this time nickel waste has been constant at 3.3 Kg Ni per ton of product.  The output data below were collected for a few selected years.  On January 1, 1985, the lake concentration of nickel was 0.13 mg/L.  The lake has a volume of 12.5 million cubic meters, a surface area of 3 million square meters, and an outflow of 8000 cubic meters per day.  Ignore any temperature effects.



Porkbarrel Plating Co. Data


Output (tons/yr)












  1. Calculate the expected nickel concentration at the beginning of the year 2010.
  2. Determine the year when the maximum Ni concentration occurred or will occur.




III.       (50%) On a separate sheet of paper, answer any five (5) of the following questions.


A.                 Describe the difference between mechanistic and empirical modeling

B.                 Is a first order reaction always faster than a zero order reaction?  Explain.

C.                 Describe the differences between point and non-point loading and give examples.

D.                 Explain the relationship between Secchi-disk depth and lake trophic state.  Why is there such a relationship?

E.                  Describe 3 different methods for determining stream velocity.

F.                  Explain what the light and dark bottle method measures and how it works

G.                 Describe the factors that determine re-aeration in rivers, and contrast this with the factors that determine re-aeration in lakes.  In your description, relate micro-scale processes (molecules) to macro-scale (bulk water or air)